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SUMMARY:Iwasawa theory for modular forms at supersingular primes - Antonio
  Lei (Cambridge)
DTSTART:20081021T133000Z
DTEND:20081021T143000Z
UID:TALK13970@talks.cam.ac.uk
CONTACT:Tom Fisher
DESCRIPTION:Let _f_ = \\sum _a_n_ _q^n_ be a normalised new form. If _p_ i
 s a supersingular prime for _f_\, the classical _p_-adic _L_-functions hav
 e unbounded coefficients. In the case of _a_p_ = 0\, Pollack has defined p
 lus and minus _p_-adic _L_-functions for _f_ which have bounded coefficien
 ts. Generalising Kobayahsi's work on elliptic\ncurves\, we will define Sel
 mer subgroups which are cotorsion over the cyclotomic extension of *Q* and
  relate them to Pollack's _p_-adic _L_-functions via the construction of C
 oleman maps. This enables us to state a version of the Iwasawa main conjec
 ture.\n
LOCATION:MR13
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